Isoparametric hypersurfaces with less than four principal curvatures in a sphere

• Autorzy: Toshiaki Adachi , Sadahiro Maeda
• Języki publikacji: EN

Abstrakty

EN

We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.

Kategorie tematyczne

• 53C22: Geodesics
• 53C20: Global Riemannian geometry, including pinching
• 53C35: Symmetric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 1
• Strony: 143-148

Daty

wydano

2006

Twórcy

autor

Toshiaki Adachi

• Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya, 466-8555 Japan

autor

Sadahiro Maeda

• Department of Mathematics, Shimane University, Matsue, Shimane, 690-8504 Japan

Identyfikatory

DOI

10.4064/cm105-1-13